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Finding the Fourth Proportional to 42.65, 58.78 and 39.91

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Solution

The fourth proportional to 42.65, 58.78 and 39.91 is: 54.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 58.78 = 39.91 : x
  2. Step 2: Convert to fraction form
    42.65/58.78 = 39.91/x
  3. Step 3: Cross multiply
    42.65x = 58.78 × 39.91
  4. Step 4: Simplify right side
    42.65x = 2,345.42
  5. Step 5: Solve for x
    x = 2,345.42/42.65
  6. Step 6: Final answer
    x = 54.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.